论文标题
与时间延迟的反馈的稳定kawahara-kadomtsev-petviashvili方程
Stabilization of the Kawahara-Kadomtsev-Petviashvili equation with time-delayed feedback
论文作者
论文摘要
在本手稿中，列出了kadomtsev-petviashvili方程的较高阶段的稳定结果。确切地说，我们通过两种不同的方法证明，在阻尼机制和内部延迟项（反阻尼）的存在下，kawahara-kadomtsev-petviashvili方程的解决方案在本地和全球呈指数稳定。主要的新颖性是，我们提出了最佳的常数以及最小的时间，以确保与该系统相关的能量呈指数零。
Results of stabilization for the higher order of the Kadomtsev-Petviashvili equation are presented in this manuscript. Precisely, we prove with two different approaches that under the presence of a damping mechanism and an internal delay term (anti-damping) the solutions of the Kawahara-Kadomtsev-Petviashvili equation are locally and globally exponentially stable. The main novelty is that we present the optimal constant, as well as the minimal time, that ensures that the energy associated with this system goes to zero exponentially.
